A rectangle has an area 12cm². If the length of the rectangle is ( x + 1 )cm and the width is x cm, find the possible value(s) of x . Show the working please thank you

Answers

Answer 1
x can be 3 because:
(3+1)(3)=(4)(3)=12
I believe that is the only possible value for x.
Good luck to you!
Answer 2

Answer:

x can be 3 or (-4) because

area of a rectangle= length × breadth

12=x×(x+1)

12=x^2+x

x^2+x-12=0

x^2 +4x-3x-12=0

x(x+4)- 3(x+4)=0

(x+4)(x-3)=0

(x+4)=0 or (x-3)=0

Therefore, x=(-4) or 3

Since, the dimensions of a rectangle cannot be negative, x=3.

Therefore, the width of a rectangle(x)=3 cm,

the length of a rectangle(x+1)=(3+1)=4 cm

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Related Questions

How far is -10 from 0​

Answers

Answer:

10

Step-by-step explanation:

Distance is always positive

|-10-0|=10

Mark me brainliest!!

Answer:

10! if you can make me brainiest id be happy:)!

Step-by-step explanation:

What’s the answer to If =3+23
, what is
when =1
and =2
?

Whats the answer to If =3+23 , what is when =1 and =2 ?

Answers

The value of y when a = 1 and b = 2 is 22.

How to solve an equation?

The equation of can be solved as follows: We will substitute the value of a and b  in the equation to find the value of y.

Therefore,

y = 3ab + 2b³

Let's find y when a = 1 and b = 2

Hence,

y = 3(1)(2) + 2(2)³

y = 6 + 2(8)

y = 22

Therefore,

y = 22

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find the size of angle x 164

Answers

Note that the size of angle x = 115°. This is a problem relating to the sum of angles in a circle. See the computation below.

What is the sum of angles in a circle?

The sum of angles in a circle is always equal to 360 degrees or 2π radians.

This means that the sum of the measures of the angles formed by any number of rays or line segments that meet at a common point, or vertex, and whose endpoints lie on the circle, will always add up to 360 degrees or 2π radians. This property is often used in geometry and trigonometry to solve problems involving circles and angles.

With regard to the above problem,

We are given three angles in a circle named as follows:

a) 81°

b) 164°

c) x

The above rule state that

81 + 164 + x = 360°

thus, x = 360 - 81 - 164

x = 360 -245

x = 115°

Thus the value of ∠x is  115°

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Full Question:

See attached image.

find the size of angle x 164

When dividing 8,164 by 78.5, what is the place value of the last digit in the quotient?
ones

Answers

Answer:

Ones

Step-by-step explanation:

The last digit will always be the ones place no matter what.

Answer:

ONES

Step-by-step explanation:

Type your answers into the boxes.
Complete the following questions,
(9 + 5) - 7 =
(18-6) + 4 + 6 =

Answers

Answer:

(9+5)-7= 7

(18-6) +4+6 = 22

Answer:

(9 + 5) - 7 = 7

(18-6) + 4 + 6 = 22

Step-by-step explanation:

Pls help I need to know what 2/7 * 3 1/2 is thank you

Answers

Answer:

2/7×31/2= 4 3/7

Step-by-step explanation:

27×312=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

2×317×2=6214

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 62 and 14 using

GCF(62,14) = 2

62÷214÷2=317

The fraction

317

is the same as

31÷7

Convert to a mixed number using

long division for 31 ÷ 7 = 4R3, so

317=437

Therefore:

27×312=437

Solution by Formulas

Apply the fractions formula for multiplication, to

27×312

and solve

2×317×2

=6214

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(62,14) = 2

62÷214÷2=317

Convert to a mixed number using

long division for 31 ÷ 7 = 4R3, so

317=437

Therefore:

27×312=437

find the slope of the linethe numbers are for time is 2,4,6,8,10,12and for height it is 20,15,10,5,0,-5

Answers

time 2,4,6,8,10,12

height 20,15,10,5,0,-5​

time (x) 2 4, 6, 8, 10, 12

height (y) 2 2.5 3.2 3.5 4.1 5

the given set of data are ordered pairs ( one for x and the other one for y ). each ordered pair can be represented by a point in the coordinate system

the ordered pairs that we have are (2,2) , (4,2.5), (6,3.2), (8,3.5), (10,4.1) and (12,5). We can plot each ordered pair in the cartesian coordinate plane just like this:

 find the slope of the linethe numbers are for time is 2,4,6,8,10,12and for height it is 20,15,10,5,0,-5

Describe a situation that can be represented by the expression –15 + 8.

Answers

Answer:

-7

Step-by-step explanation:

Tiger Woods was 15 under par after the third round of a golf tournament, but was 8 over par for the fourth round. So, his score for the entire tournament was -15 + 8 = -7 (That is, 7 under par).

Is the relation a function yes or no circle the order pairs that cause the relation to not be a function

Is the relation a function yes or no circle the order pairs that cause the relation to not be a function

Answers

For the relations (tables) from left to right we have:

1) Is not a function, because the input 5 is mapped into two different values.

2) Is not a function, because the input -1 is mapped into two different values.

3) It is a function.

4) It is a function (the input x = 7 appears twice, but both times is mapped into the same output).

How to know if the relations are functions or not?

A relation is an operation that maps elements from one set called the domain (set of the inputs) into elements of another set, called the range (set of the outputs).

Now, a relation is a function only if each element of the domain is mapped into only one element of the range. So, if you see the same input in a table two times (related to two different outputs) then that table does not represent a function.

Then, for the tables reading from left to right, we have:

1) Is not a function, because the input 5 is mapped into two different values.

2) Is not a function, because the input -1 is mapped into two different values.

3) It is a function.

4) It is a function (the input x = 7 appears twice, but both times is mapped into the same output).

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How do I find GBA and show all the work

How do I find GBA and show all the work

Answers

Answer:

Angle ACB = 44°

There are two ways to solve it. Both are right

Solution number 1

From triangle ABC

angle BAC = 180°-(102° +44°) = 36°

Because BG is parallel with AC

Then angle GBA = angle BAC = 34°

Another solution

The sum of angles in the shape AGBC = 360°

So angle GBC = 360 - (90 + 90 + 44 + 102) = 34°

Deshaun borrowed money from a credit union for 4 years and was charged simple interest at an annual rate of 9%. The total interest that he paid was $144.
How much money did he borrow?

Answers

Answer:

$155.56

Step-by-step explanation:

S.I=(PRT)÷100

$144=(P×9×1)÷100

crossmultiply

$144×100=9P

P=$14400÷9

P=$155.56

−5 1/5÷(2/3) help plz

Answers

Answer:

−5 1/5÷(2/3)≈-7.8

The answer choice are
14
-5
6
8
Pls help me by showing what you did step by step!!!!!
URGENT!!!!

The answer choice are 14-568Pls help me by showing what you did step by step!!!!!URGENT!!!!

Answers

Answer:

x = 8

Step-by-step explanation:

the inscribed angle  KLM is half the measure of its intercepted arc KM , so

5x - 1 = \(\frac{1}{2}\) (8x + 14) = 4x + 7 ( subtract 4x from both sides )

x - 1 = 7 ( add 1 to both sides )

x = 8

Answer:

8

Step-by-step explanation:

In the circle, the the angle KLM is half of the arc length KM.

1/2 × ∡ KM = × ∠KLM1/2 × (8x + 14) = (5x - 1)4x + 7 = 5x - 15x - 4x = 7 + 1x = 8

XCl2(aq)+AgNO3(aq)=X(NO3)2(aq)+AgCl(s)
This is a test

Answers

The balanced equation of the chemical reaction is XCl₂(aq) + 2AgNO₃ → X(NO₃)₂(aq) + 2AgCl

How to balance chemical equation?

Chemical equations are symbolic representations of chemical reactions in which the reactants and the products are expressed in terms of their respective chemical formulae.

For chemical reaction to be balance the number of atoms on both sides of the equation must be the same.

Therefore, let's balance the chemical equation as follows:

XCl₂(aq) + 2AgNO₃ → X(NO₃)₂(aq) + AgCl

Now the atoms of X are equal on both sides. Chlorine is 2 atoms on the product side. So, we should make it 2 atoms of chlorine on the reactant side.  Silver will also be 2 atoms on both sides of the equation.

Nitrogen is 2 on both sides, while oxygen is 6 on both sides of the equation.

Therefore, the balance equation is  XCl₂(aq) + 2AgNO₃ → X(NO₃)₂(aq) + 2AgCl

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a recipe says it produces the best summer drink the recipe calls for 1/2 cup of lemonade for every 1 1/2 cops of iced tea. if 16 cups of the summer drink are made how many of those cups of lemonade use the table to help u find the answer​

Answers

Answer:

4 cups of lemonade

Step-by-step explanation:

lemonade: tea   : total

1/2                1 1/2     1/2 + 1 1/2 = 2

We need a total of 16

16/2 = 8

Multiply each number by 8

lemonade: tea   : total

1/2 *8               1 1/2 *8     2*8

4                   12      16

4 cups of lemonade

Question 8
The black line is the graph of y=x. Which of these equations could represent the blue line?

Question 8 The black line is the graph of y=x. Which of these equations could represent the blue line?

Answers

Answer:

y = ½x

Step-by-step explanation:

y = ½x

---------------

fill in the mission numbers to make the fractions equivalent. 1/2 and /8= 4/12 and /60= 2/3 and /12= 4/4 and /8=​

Answers

To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.


The minute hand on a clock is 10 cm long. It rotates 115° in eighteen minutes. How many
centimeters has the tip of the minute hand traveled in those eighteen minutes? Round to the
nearest tenth of a centimeter.

Please help

Answers

The number of centimeters the tip of the minute hand traveled in those eighteen minutes is 20.096 cm.

Given that, the minute hand on a clock is 10 cm long and it rotates 115° in eighteen minutes.

We know that, the arc length of a circle is θ/360° ×2πr.

Here, arc length = 115°/360° ×2×3.14×10

= 0.32×2×3.14×10

= 20.096 cm

Therefore, the number of centimeters the tip of the minute hand traveled in those eighteen minutes is 20.096 cm.

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Sample Questions Chapters 3, 12, 13, 14. All of the following contribute to the success of incumbent members of Congress n election campaigns EXCEPT Incumbents.

Answers

All of the following contribute to the success of incumbent members of Congress n election campaigns EXCEPT Incumbents tend to understand national issues better than do their challengers.

What does the term incumbent mean?

The term "incumbent" has several meanings depending on the context, but it generally refers to someone who holds a particular position or office. The most common usage of this term is in the context of politics, where an incumbent is the current holder of a political office, such as a president, governor, or member of Congress. An incumbent candidate is the candidate who is currently holding a political office and is running for re-election.

In other fields, the term incumbent is used to describe someone who holds a particular job, position or role and is responsible for certain tasks or duties, for example an incumbent employee, an incumbent contractor, an incumbent provider, etc.

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Complete question not found

Can anyone help with this one question im giving 100 points plz dont answer if you dont know.
In each problem angle c is a right angle. Solve each triangle rounding answers to the nearest tenth show all work.

Can anyone help with this one question im giving 100 points plz dont answer if you dont know. In each

Answers

Answer:

Solution given:

<C=90°

<B=48.7°

a=?

<A=?

b=?

Now

In right angled triangle

<A+<B+<C=180°[Sum of interior angle of a triangle is 180°]

<A+48.7+90=180°

<A=180-90-48.7

<A=41.3°

again

Sin 48.7=perpendicular/hypotenuse=b/c

b=sin 48.7°×16

b=12

again

Cos 48.7°=base/hypotenuse=a/c

a=Cos 48.7°×c

a=Cos 48.7°×16

a=10.6

So ,answer is:D.m<A=41.3°,a=10.6 and b=12.

Can anyone help with this one question im giving 100 points plz dont answer if you dont know. In each

A store opens at 8am. From 8 until 10am customers arrive at a Poisson rate of four an hour. Between 10am and 12pm they arrive at a Poisson rate of eight an hour. From 12pm and 2pm the arrival rate increases steadily from eight per hour at 12pm to ten per hour at 2pm; and from 2 to 5pm the arrival rate drops steadily from ten per hour at 2pm to four per hour at 5pm. Determine the probability distribution of the number of customers that enter the store on a given day.

Answers

The probability distribution of the number of customers that enter the store on a given day is described as follows:

Poisson with a mean of 70 customers.

What is the Poisson distribution?

In a Poisson distribution, the mass function probability that X represents the number of successes of a random variable is given by the equation presented as follows:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are:

x is the number of successes that we want to find the probability of.e = 2.71828 is the Euler number.\(\mu\) is the mean in the given interval or range of values of the input parameter.

A combination of Poisson variables is a Poisson variable, hence the daily distribution is a Poisson variable with mean given by the sum of these following observations:

8 customers from 8 am to 10 am.16 customers from 10 am to 12 pm.18 customers from 12 pm to 2 pm. (the average over the interval is of 9 an hour).28 customers from 2 pm to 5 pm.

Hence the mean is of:

8 + 16 + 18 + 28 = 70 customers.

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EASY POINTS!

Winter has just begun. After one week, the temperature decreased by 46.8° with a
percent change of 72%. What was the temperature at the beginning of the week and
what is the temperature now?

Answers

Answer:Can somebody also help me with this. i'm confused please hurry!

Step-by-step explanation:

Find the area. Answer without units.

I need this asap thx (:

Find the area. Answer without units.I need this asap thx (:

Answers

Answer:

I think the answer is 43.8

Answer:

198.4

Step-by-step explanation:

Right side is a rectangle   12.8 * 12.8 = 163.84 cm^2

Left side is triangle   area = 1/2 Base * height = 1/2 * 12.8 * (18.2-12.8) =

         34.56 cm^2

summed = 198.4  cm^2

How many times larger is 1.2*10^8 than 6*10^3

Answers

20 times hope this help an

Answer:

1.2×10⁸ is greater than 6×10³ by a factor of 2×10⁴, or 20000.

Step-by-step explanation:

You can solve this simply by dividing the first one by the second one:

\(\frac{1.2\times 10^8}{6\times 10^3} \\\\= \frac{1.2}{6} \times \frac{10^8}{10^3} \\\\= \frac{12}{6} \times \frac{10^7}{10^3} \\\\= 2.0 \times 10^4 \\\\\)

Julio wears a blue shirt every 3 days. Larry wears a blue shirt every 4 days.on April 12 ,both Julio and Larry wore blue shirt.what is the next date that they will both wear a blue shirt?

Answers

Answer:

Step-by-step explanation:

We need to find the least common multiple (LCM) of 3 and 4, which will give us the number of days after which both Julio and Larry will wear a blue shirt on the same day again.

The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...

The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, ...

We can see that the least common multiple of 3 and 4 is 12, because it is the smallest number that appears in both lists.

This means that Julio and Larry will wear a blue shirt on the same day every 12 days.

Since they both wore blue shirts on April 12, the next date that they will both wear a blue shirt is 12 days later, on April 24.

Answer:

To find the next date that they will both wear a blue shirt, we need to find the least common multiple (LCM) of 3 and 4, which is 12.

So, Julio will wear a blue shirt on April 12, 15, 18, 21, and so on.

Larry will wear a blue shirt on April 12, 16, 20, 24, and so on.

The next date they will both wear a blue shirt is when their dates coincide, which is April 24.

Therefore, Julio and Larry will both wear a blue shirt again on April 24.

Step-by-step explanation:

A right circular cylinder with its diameter equal to its height is inscribed in a right circular cone.The cone has diameter 10 and altitude 15, and the axes of the cylinder and the cone coincide. find the volume of the cylinder.
O 30/23
O 30/11
O 15/11
O 17/11
O 3/2

Answers

The volume of the cylinder is 169.7. (Option C)

Based on the provided information, let the radius of the cylinder be r and diameter of the cylinder be 2r. The diameter and height of the circular cylinder is the same. When examining the cross section of the cone and cylinder, there are two similar triangles. Hence,

(15 – 2r)/15 = r/5

5(15 – 2r)= 15r

75 – 10r = 15r

r = 3

Volume of the cylinder = πr^2h where r is the radius of the cylinder and h is the height of cylinder. As h = 2r, Hence,

V = πr^2(2r) = (22/7)(3^2)(6) = 169.7

Note: The question is incomplete as the options are incorrect. The correct options are A) 127.5 B) 151.6 C) 169.7 D) 168.5

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without calculation, find one eigenvalue and two linearly independent eigenvectors of a d [2 4 5 5 5 5 5 5 5 5 5 3 5]. justify your answer.

Answers

To find the eigenvalues and eigenvectors of a matrix, we need to solve the equation Ax = λx, where A is the matrix, λ is the eigenvalue, and x is the eigenvector. In this case, we have a 3x3 matrix, so we expect to find three eigenvalues and three eigenvectors.

Without performing the calculations, it is difficult to determine the exact eigenvalues and eigenvectors of matrix D. However, based on the structure of the matrix, we can make some observations. We notice that the matrix has a repeating pattern of the number 5, which suggests that 5 is a dominant eigenvalue. Additionally, the matrix is symmetric, so we know that the eigenvectors will be orthogonal.

One possible approach to finding the eigenvectors is to use the Gram-Schmidt process, which is a method for orthogonalizing a set of vectors. We can start with a vector that is parallel to one of the columns of the matrix, and then subtract the projection of that vector onto the next column to obtain a vector that is orthogonal to the first. We can continue this process for each column to obtain a set of orthogonal vectors, which will be our eigenvectors.

Based on these observations, we can hypothesize that 5 is an eigenvalue of D and that we can find two linearly independent eigenvectors by using the Gram-Schmidt process on the columns of the matrix. However, we would need to perform the calculations to confirm this hypothesis and determine the exact values of the eigenvectors.

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If the volume of a rectangular prism is 1260 cubic feet and the length of the prism is 10 feet. What would be the measurement of the
area of the base?

Answers

Answer:

qawsexdcrfvtgbyhunjikijuhytg5r4r5gt6hyjuiko

Step-by-step explanation:

Answer:

126 ft

Step-by-step explanation:

V= (area of base) x length

So you work backward and do 1,260 divided by 10 and get 126

What is the image point of (-4,-3) after a translation left 1 unit and
down 2 units?

Answers

Answer:

The new point would be (-5,-5)

Step-by-step explanation:

i have big brain

Answer: (-5, -5)

Step-by-step explanation:

-4 + -1

-3 + -2

-5, -5

Jessica needs to know how much water her new fish tank can hold:

A rectangular prism with a length of 8 inches, a width of 4 inches, and a height of 9 inches.

Determine the total volume of the fish tank.

Answers

The fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.

The volume of a rectangular prism can be calculated using the formula:

V = l x b x h..........(i)

where,

V ⇒ Volume

l  ⇒ length

b ⇒ width

h ⇒ height

From the question, we are given the values,

l = 8 inches

b = 4 inches

h = 9 inches

Putting these values in equation (i), we get,

V = 8 x 4 x 9

⇒ V = 288 in³

Therefore, the fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.

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Its standard cost information follows:Standard Quantity Standard Price (Rate) Standard Unit CostDirect materials (fiberglass) 14.2 sq. ft. $ 4.6 per sq. ft. $ 65.32Direct labor 10.4 hrs. $ 14 per hr. 145.60Variable manufacturing overhead (based on direct labor hours) 10.4 hrs. $ 8 per hr. 83.20Fixed manufacturing overhead ($32,000 310 units) 103.23Rip Tide has the following actual results for the month of June:Number of units produced and sold 170Number of square feet of fiberglass used 4,300Cost of fiberglass used $ 22,360Number of labor hours worked 1,708Direct labor cost $ 25,108Variable overhead cost $ 12,981Fixed overhead cost $ 29,500Required:1 & 2. Prepare the journal entries to record the direct materials, direct labor costs and related variances for Rip Tide. Assume the company purchases raw materials as needed and does not maintain any ending inventories. (If no entry is required for a transaction/event, select "No Journal Entry Required" in the first account field. 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